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Finding the Fourth Proportional to 422.74, 583.54 and 275.54

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Solution

The fourth proportional to 422.74, 583.54 and 275.54 is: 380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.74 : 583.54 = 275.54 : x
  2. Step 2: Convert to fraction form
    422.74/583.54 = 275.54/x
  3. Step 3: Cross multiply
    422.74x = 583.54 × 275.54
  4. Step 4: Simplify right side
    422.74x = 160,788.61
  5. Step 5: Solve for x
    x = 160,788.61/422.74
  6. Step 6: Final answer
    x = 380.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.